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arXiv · 2007.12738

Regularity and intersections of bracket powers

Neil Epstein
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Abstract

Among reduced Noetherian prime characteristic commutative rings, we prove that a regular ring is precisely one where finite intersection of ideals commutes with taking bracket powers. However, reducedness is essential for this equivalence. Connections are made with Ohm-Rush content theory, intersection-flatness of the Frobenius map, and various flatness criteria.

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Neil Epstein. 2021-02-21. Regularity and intersections of bracket powers. https://arxiv.org/abs/2007.12738

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